1.

122i and ane unit veetars aslong a and y as respectvely. What is the megnstudeA 2i.tong the directiens or i-j and i j? TYou may une graptucal method

Answer»

magnitude of i+j and i-j are equal having value= √1²+1² = √2

so, direction of both vectors are i+j/√2 and i-j/√2

now component of 2i+3j in the direction of i+j/√2 and i-j/√2 are ,

(2i+3j)•(i+j)/√2 = (2+3)/√2 = 5/√2 (2i+3j(i-j)/√2 = (2-3)/√2 = -1/√2



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